5 problems

Kashaev's invariant conjecture. The invariants satisfy

Kashaev-invariant relation. The trisection invariant associated to the Hopf triplet in the cited construction should be related to Kashaev's invariant.

Let $X$ be an oriented closed $4$-manifold, let $\chi(X)$ be its Euler characteristic, and let $N\geq 2$. Denote by $\mathcal{K}_N(X)$ the Kashaev invariant and by…

The Kashaev invariant is defined for a triangulated oriented closed $4$-manifold $X$ by contracting copies of the tensors $Q$ or $Q^\dagger$ assigned to its $4$-simplices, with nor…

Let $G$ be a group and suppose that extending a braided spherical fusion category to a CatNameShort{$G$} depends on the vanishing of an obstruction $O_4\in H^4(G,U(1))$. Generalize…